We look at the division of 625105 by 45 
Our goal is to divide 625105 by 45.

On to step 1:
When dividing 6 by 45, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 45

Advancing to step 2:
45 goes into 62 1 times with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 45 from 62 leaves us with 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 45

On to step 3:
When dividing 175 by 45, we get 3 with a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 135 from 175 to get 40.
Take the next digit (1) from the dividend and append it to 40, then repeat: 401 / 45

Going ahead to step 4:
45 goes into 401 8 times with a remainder of 41.
Put 8 as the next digit of the answer. 
Result so far: 138.0
Deduct 360 from 401 and we're left with 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 45

Moving on to step 5:
45 goes into 410 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 1389.0
Subtract 405 from 410 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 45

On to step 6:
If we divide 55 by 45, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 13891.0
If we subtract 45 from 55, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
45 goes into 100 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 13891.2
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 13891.22
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 13891.22, and the remainder is 0.01.